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Finding the Third Proportional to 7,944.96 and 12,019.96

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Solution

The third proportional to 7,944.96 and 12,019.96 is: 18,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.96 : 12,019.96 = 12,019.96 : x
  2. Step 2: Convert to fraction form
    7,944.96/12,019.96 = 12,019.96/x
  3. Step 3: Cross multiply
    7,944.96x = 12,019.96 × 12,019.96
  4. Step 4: Simplify right side
    7,944.96x = 144,479,367.03
  5. Step 5: Solve for x
    x = 144,479,367.03/7,944.96
  6. Step 6: Final answer
    x = 18,185.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.